Finding the Third Proportional to 362,772 and 784,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   362,772 : 784,642.50 = 784,642.50 : x
2. Step 2: Convert to fraction form
   362,772/784,642.50 = 784,642.50/x
3. Step 3: Cross multiply
   362,772x = 784,642.50 × 784,642.50
4. Step 4: Simplify right side
   362,772x = 615,663,852,806.25
5. Step 5: Solve for x
   x = 615,663,852,806.25/362,772
6. Step 6: Final answer
   x = 1,697,109.62